1. What is Beam Deflection?

Beam deflection refers to the displacement of a beam under load. For timber beams under uniform load, the maximum deflection at midspan can be calculated using the standard formula for simply supported beams.

2. How Does the Calculator Work?

The calculator uses the deflection formula:

Where:

• \( \delta \) — Deflection (mm)
• \( w \) — Uniform load (N/mm)
• \( L \) — Length of beam (mm)
• \( E \) — Modulus of elasticity (MPa)
• \( I \) — Moment of inertia (mm⁴)

Explanation: This formula calculates the maximum deflection at the center of a simply supported beam subjected to a uniformly distributed load.

3. Importance of Deflection Calculation

Details: Calculating beam deflection is crucial for structural design to ensure that beams meet serviceability requirements and don't deflect excessively under load, which could cause damage or discomfort.

4. Using the Calculator

Tips: Enter all values in the specified units. Ensure all inputs are positive values. The calculator will compute the deflection in millimeters.

5. Frequently Asked Questions (FAQ)

Q1: What is a typical deflection limit for timber beams?
A: For residential floors, deflection is typically limited to L/360 of the span length. For roofs, L/240 is common.

Q2: How does moisture affect timber beam deflection?
A: Moisture can reduce the modulus of elasticity of timber, potentially increasing deflection over time.

Q3: Can this formula be used for other materials?
A: Yes, the formula applies to any homogeneous, isotropic material behaving elastically under load.

Q4: What if the load is not uniform?
A: Different formulas are needed for concentrated loads or other loading conditions.

Q5: How accurate is this calculation?
A: The formula provides theoretical deflection assuming ideal conditions. Actual deflection may vary due to material imperfections and support conditions.